Bernstein basis polynomials: Difference between revisions
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→{{header|Phix}}: missing space, qualify "mid"
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<span style="color: #000000;">a02</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">a0</span> <span style="color: #0000FF;">+</span> <span style="color: #000000;">a1</span><span style="color: #0000FF;">/</span><span style="color: #000000;">3</span><span style="color: #0000FF;">*</span><span style="color: #000000;">2</span> <span style="color: #0000FF;">+</span> <span style="color: #000000;">a2</span><span style="color: #0000FF;">/</span><span style="color: #000000;">3</span><span style="color: #0000FF;">,</span>
<span style="color: #000000;">a03</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">a0</span> <span style="color: #0000FF;">+</span> <span style="color: #000000;">a1</span> <span style="color: #0000FF;">+</span> <span style="color: #000000;">a2</span> <span style="color: #0000FF;">+</span> <span style="color: #000000;">a3</span>
<span style="color: #008080;">return</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">a0</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">a01</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">a02</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">a03</span><span style="color: #0000FF;">}</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span>
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<span style="color: #004080;">atom</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">b0</span><span style="color: #0000FF;">,</span><span style="color: #000000;">b1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">b2</span><span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">bernstein_coefficients</span><span style="color: #0000FF;">,</span>
<span style="color: #000000;">s</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">1</span><span style="color: #0000FF;">-</span><span style="color: #000000;">t</span><span style="color: #0000FF;">,</span>
<span style="color: #000080;font-style:italic;">// first mid-points (obvs "mid"dle only when t=0.5)</span>
<span style="color: #000000;">b01</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">s</span><span style="color: #0000FF;">*</span><span style="color: #000000;">b0</span> <span style="color: #0000FF;">+</span> <span style="color: #000000;">t</span><span style="color: #0000FF;">*</span><span style="color: #000000;">b1</span><span style="color: #0000FF;">,</span>
<span style="color: #000000;">b12</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">s</span><span style="color: #0000FF;">*</span><span style="color: #000000;">b1</span> <span style="color: #0000FF;">+</span> <span style="color: #000000;">t</span><span style="color: #0000FF;">*</span><span style="color: #000000;">b2</span><span style="color: #0000FF;">,</span>
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<span style="color: #004080;">atom</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">b0</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">b1</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">b2</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">b3</span><span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">bernstein_coefficients</span><span style="color: #0000FF;">,</span>
<span style="color: #000000;">s</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">1</span><span style="color: #0000FF;">-</span><span style="color: #000000;">t</span><span style="color: #0000FF;">,</span>
<span style="color: #000080;font-style:italic;">// first mid-points (ditto)</span>
<span style="color: #000000;">b01</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">s</span><span style="color: #0000FF;">*</span><span style="color: #000000;">b0</span> <span style="color: #0000FF;">+</span> <span style="color: #000000;">t</span><span style="color: #0000FF;">*</span><span style="color: #000000;">b1</span><span style="color: #0000FF;">,</span>
<span style="color: #000000;">b12</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">s</span><span style="color: #0000FF;">*</span><span style="color: #000000;">b1</span> <span style="color: #0000FF;">+</span> <span style="color: #000000;">t</span><span style="color: #0000FF;">*</span><span style="color: #000000;">b2</span><span style="color: #0000FF;">,</span>
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